Catasma
(Redirected from 140625/140608)
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| Ratio | 140625/140608 |
| Factorization | 2-6 × 32 × 56 × 13-3 |
| Monzo | [-6 2 6 0 0 -3⟩ |
| Size in cents | 0.20929961¢ |
| Name | catasma |
| Color name | L3u3y6-3, Latrithuyoyo negative 3rd |
| FJS name | [math]\text{5d}{-3}^{5,5,5,5,5,5}_{13,13,13}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 34.2028 |
| Weil height (log2 max(n, d)) | 34.203 |
| Wilson height (sopfr(nd)) | 87 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.19863 bits |
| Comma size | unnoticeable |
| S-expression | S25 / S26 |
| open this interval in xen-calc | |
140625/140608, the catasma, is a no-sevens, no-elevens, 13-limit unnoticeable comma measuring about 0.209 cents. It is the difference between the whole tone, 9/8, and three intervals of 26/25, or alternatively between 3/1 and three intervals of 75/52; therefore tempering this comma out splits the perfect twelfth into three equal parts.
Etymology
The name was proposed by Tristan Bay in 2023, as it is the difference between 625/624 and 676/675, two important commas tempered out in cata temperament.